Find a natural numbers b such that Gcf (24,b)=12
b=48
or b = 36
or b = 204
or ...
any b = any prime times 12
the GCF of (24,48) would be 24, so the bot is wrong again.
To find a natural number b such that the GCF (Greatest Common Factor) of 24 and b is 12, we need to determine the factors of both 24 and 12.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 12 are: 1, 2, 3, 4, 6, and 12.
The greatest common factor between 24 and 12 is 12, as they both share it as a factor.
Therefore, any natural number b that is a multiple of 12 would satisfy the condition. For example, b = 12, 24, 36, 48, 60, and so on can be considered valid solutions since their GCF with 24 is 12.
To find a natural number b such that Gcf(24, b) = 12, we need to consider the factors of both 24 and 12.
The prime factorization of 24 is 2^3 * 3, which means it has factors 1, 2, 3, 4, 6, 8, 12, and 24.
The prime factorization of 12 is 2^2 * 3, which means it has factors 1, 2, 3, 4, 6, and 12.
The greatest common factor (GCF) is the largest common factor between two numbers. In this case, GCF(24, b) = 12, so the common factors between 24 and b must include 1, 2, 3, 4, 6, and 12.
From the factors listed above, we see that 12 is the highest common factor, meaning b must be a multiple of 12.
Therefore, any natural number b that is a multiple of 12 will satisfy GCF(24, b) = 12. Examples of such numbers include 12, 24, 36, 48, etc.